
I think if you're a survivor you can get The Red-Gloved Man to appear five times, if in your hand you have at least one of him, 2 copies of A Chance Encounter and 2 copies of Resourceful.
Like so:
Play The Red-Gloved Man.
Discard him at the end of the Mythos Phase.
Next turn: Play A Chance Encounter and put The Red-Gloved Man into play.
Commit Resourceful to a skill test, and win. Retrieve A Chance Encounter from your discard pile.
End of round: Discard The Red-Gloved Man
Next turn:
Play A Chance Encounter and put The Red-Gloved Man into play.
Commit Resourceful to a skill test, and win. Retrieve A Chance Encounter from your discard pile.
End of round: Discard The Red-Gloved Man
Next turn:
Play A Chance Encounter and put The Red-Gloved Man into play.
End of round: Discard The Red-Gloved Man
Next turn:
Play A Chance Encounter and put The Red-Gloved Man into play.
End of round: Discard The Red-Gloved Man
I'm sure some other deck techers have stumbled onto this awesome combo. That said, I don't see why it wouldn't work with other allies.